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Finding the Third Proportional to 132,414 and 288,084

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Solution

The third proportional to 132,414 and 288,084 is: 626,764.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,414 : 288,084 = 288,084 : x
  2. Step 2: Convert to fraction form
    132,414/288,084 = 288,084/x
  3. Step 3: Cross multiply
    132,414x = 288,084 × 288,084
  4. Step 4: Simplify right side
    132,414x = 82,992,391,056
  5. Step 5: Solve for x
    x = 82,992,391,056/132,414
  6. Step 6: Final answer
    x = 626,764.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.